n^2+9n*10n+90=30

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Solution for n^2+9n*10n+90=30 equation: 


Simplifying
n2 + 9n * 10n + 90 = 30

Reorder the terms for easier multiplication:
n2 + 9 * 10n * n + 90 = 30

Multiply 9 * 10
n2 + 90n * n + 90 = 30

Multiply n * n
n2 + 90n2 + 90 = 30

Reorder the terms:
90 + n2 + 90n2 = 30

Combine like terms: n2 + 90n2 = 91n2
90 + 91n2 = 30

Solving
90 + 91n2 = 30

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-90' to each side of the equation.
90 + -90 + 91n2 = 30 + -90

Combine like terms: 90 + -90 = 0
0 + 91n2 = 30 + -90
91n2 = 30 + -90

Combine like terms: 30 + -90 = -60
91n2 = -60

Divide each side by '91'.
n2 = -0.6593406593

Simplifying
n2 = -0.6593406593

Reorder the terms:
0.6593406593 + n2 = -0.6593406593 + 0.6593406593

Combine like terms: -0.6593406593 + 0.6593406593 = 0.0000000000
0.6593406593 + n2 = 0.0000000000

The solution to this equation could not be determined.

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